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An event management company charges ₹ 4,800 per guest, for a bulk booking for 100 guests. In addition, it offers a discount of ₹ 200 for each group of 10 guests over and above 100 guest booking. What is the number of guests that will maximise the amount of money the company receives on a booking? What is the maximum profit on such booking?

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Best answer

Let x be the number of guests for the booking

Clearly, x > 100 to avail discount

A booking for 170 guests will maximise the profit of the company

And, Profit = ₹ 5,78,000

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